Papers › On the Nature of Spatial Universes in 3D Lorentzian Quantum Gravity
On the Nature of Spatial Universes in 3D Lorentzian Quantum Gravity
J. Brunekreef, R. Loll
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
Three-dimensional Lorentzian quantum gravity, expressed as the continuum limit of a nonperturbative sum over spacetimes, is tantalizingly close to being amenable to analytical methods, and some of its properties have been described in terms of effective matrix and other models. To gain a more detailed understanding of three-dimensional quantum gravity, we perform a numerical investigation of the nature of spatial hypersurfaces in three-dimensional Causal Dynamical Triangulations (CDT). We measure and analyze several quantum observables, the entropy exponent, the local and global Hausdorff dimensions, and the quantum Ricci curvature of the spatial slices, and try to match them with known continuum properties of systems of two-dimensional quantum geometry. Above the first-order phase transition of CDT quantum gravity, we find strong evidence that the spatial dynamics lies in the same universality class as two-dimensional Euclidean (Liouville) quantum gravity. Below the transition, the behaviour of the spatial slices does not match that of any known quantum gravity model. This may indicate the existence of a new type of two-dimensional quantum system, induced by the more complex nature of the embedding three-dimensional quantum geometry.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections